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Finding the Fourth Proportional to 120.45, 166.20 and 68.70

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Solution

The fourth proportional to 120.45, 166.20 and 68.70 is: 94.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.45 : 166.20 = 68.70 : x
  2. Step 2: Convert to fraction form
    120.45/166.20 = 68.70/x
  3. Step 3: Cross multiply
    120.45x = 166.20 × 68.70
  4. Step 4: Simplify right side
    120.45x = 11,417.94
  5. Step 5: Solve for x
    x = 11,417.94/120.45
  6. Step 6: Final answer
    x = 94.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.